Find the value of x. Round the length to the nearest tenth.

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

Consider the given right triangle. We have to find the value of 'x'. So, the value of 'x' is 9.2 cm. Option 3 is the correct answer.

Step-by-step explanation:

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two blocks of wood are shaped as right rectangle prisms the smaller block has a length of 9 cm a width of 3 cm and a height of 7

dolphi86 [110]

Answer:

1,512 cm³

Step-by-step explanation:

The general formula for the volume of a prism is:

V= Bh, where B = the area of the base and h = height of the prism

Given the dimensions of the smaller block as 9cm x 3cm x 7cm, then the dimensions of the larger block (double the dimensions of the smaller block) must be 18cm x 6cm x 14cm. Using these measurements:

V = (18)(6)(14) = 1,512 cm³

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3 years ago

{(-4,8),(-2,4),(0,1),(2,4),(4,8)}

astraxan [27]

Answer:

Since there is one value of y for every value of x in (−4,8),(−2,4),(0,1),(2,4), ( 4,8), this relation is a function. The relation is a function.

5 0

2 years ago

The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral